A Verification-Driven Approach to Traceability and Documentation for Auto-Generated Mathematical Software Ewen Denney SGT / NASA Ames Moffett Field, CA 94035

Source URL: ti.arc.nasa.gov

• Software requirements
• Formal methods
• Procedural programming languages
• Requirement
• Comment
• Formal verification
• Traceability
• Axiom
• C
• Mathematical proof
• Metamath

SIAM J. COMPUT. Vol. 7, No. 1, February 1978 SOUNDNESS AND COMPLETENESS OF AN AXIOM SYSTEM FOR PROGRAM VERIFICATION* STEPHEN A. COOKer

Source URL: www.cs.utoronto.ca

Under consideration for publication in Math. Struct. in Comp. Science Formalization of Real Analysis: A Survey of Proof Assistants and Libraries∗ SYLVIE BOLDO CATHERINE LELAY

Source URL: www.lri.fr

• Proof assistants
• Real numbers
• Automated theorem proving
• Elementary mathematics
• Type theory
• First-order logic
• Construction of the real numbers
• Constructivism
• Mathematical logic
• Isabelle
• Axiom
• Setoid

Realizing Mahlo set theory in type theory Michael Rathjen∗ Abstract After introducing the large set notion of Mahloness, this paper shows that constructive set theory with an axiom asserting the existence of a Mahlo se

Source URL: www1.maths.leeds.ac.uk

Algebraic structures in Axiom and Isabelle: attempt at a comparison Clemens Ballarin Institut f¨ur Informatik Universit¨at Innsbruck 6020 Innsbruck, Austria

Source URL: www21.in.tum.de

I NTRODUCTION P RINCIPLES ADMITTING A UNIVERSAL INSTANCE P RINCIPLES ADMITTING NO UNIVERSAL INSTANCE

Source URL: ludovicpatey.com

• Computability theory
• Mathematical logic
• Proof theory
• Reverse mathematics
• Model theory
• Axiom of choice

SIAM J. COMPUT. Vol. 7, No. 1, February 1978 SOUNDNESS AND COMPLETENESS OF AN AXIOM SYSTEM FOR PROGRAM VERIFICATION* STEPHEN A. COOKer

Source URL: www.cs.toronto.edu

A reasoning approach to knowledge, introspection and unawareness∗ Olivier Gossner†and Elias Tsakas‡ July 24, 2009 Abstract

Source URL: ogossner.free.fr

• Philosophy
• Logic
• Abstraction
• Philosophical logic
• Axiom
• Constructible universe
• Epistemology
• A priori and a posteriori
• Linear temporal logic

FXplorer: Exploration of Computed Software Behavior - A New Approach to Understanding and Verification

Source URL: daly.axiom-developer.org

Reichenbach’s Axiom – For the record J.B.Paris & A.Vencovsk´a School of Mathematics The University of Manchester Manchester M13 9PL ,

Source URL: www.maths.manchester.ac.uk